MAT116P Algebra 1A
Course Description
This course introduces basic algebra concepts and assists in building skills for performing specific mathematical operations and problem solving. Students will solve equations, evaluate algebraic expressions, solve and graph linear equations and linear inequalities, graph lines, and solve systems of linear equations and linear inequalities. These concepts and skills will serve as a foundation for subsequent business coursework. Applications to real-world problems are also explored throughout the course. This course is the first half of the college algebra sequence, which is completed in MAT 117, Algebra 1B.
Topics and Objectives
Real Numbers and Algebraic Expressions
- Compare the values of integers.
- Simplify expressions using the order of operations and properties of real numbers.
- Translate phrases into mathematical expressions.
- Use substitution to evaluate algebraic expressions.
Solving Algebraic Equations and Inequalities
- Solve one-variable equations using the addition and multiplication principles.
- Determine whether a given point is a solution for a linear equation.
- Solve a formula for a variable.
More on Solving Equations and Inequalities
- Solve one-variable inequalities using the addition and multiplication principles.
- Graph one-variable inequalities.
- Determine whether a given point is a solution for a linear inequality.
- Translate sentences into inequalities.
Graphing Linear Equations
- Graph points from ordered pairs in an (x,y) coordinate system.
- Determine whether a given point is a solution for a linear equation.
- Graph a linear equation using tables and intercepts.
- Find the slope of a line given two points or the equation of a line.
Functions
- Differentiate between functions and equations.
- Find function values for specific domain values.
- Determine the domain and range of a function.
Graphs of Functions
- Graph linear equations using slope and y-intercepts or x- and y-intercepts.
- Determine whether lines are perpendicular, parallel, or intersecting.
- Write linear equations using point-slope and y-intercept forms.
Systems of Equations
- Solve systems of linear equations using graphing and methods of substitution and elimination.
- Determine whether a system is consistent or inconsistent.
- Determine whether equations of a system are dependent or independent.
Systems of Inequalities
- Solve and graph systems of inequalities in one and two variables.
Apply Algebraic Concepts
- Apply algebraic concepts to solve mathematical problems.
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